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Sav [38]
3 years ago
13

F

Mathematics
2 answers:
Masja [62]3 years ago
5 0

Step-by-step explanation:

P varies to d²

F=K/d²

where K is the constant

6=k/6²

6=k/36

K= 216

we write the equation

F=k/d²

we substitute

F=216/3²

F=216/9

F= 24

ivolga24 [154]3 years ago
3 0

Answer:

F = 24

Step-by-step explanation:

Given that F is inversely proportional to d² then the equation relating them is

F= \frac{k}{d^2} ← k is the constant of proportion

To find k use the condition F = 6 when d = 6 , then

6 = \frac{k}{6^2} = \frac{k}{36} ( multiply both sides by 36 )

216 = k

F = \frac{216}{d^2} ← equation of proportion

When d = 3 , then

F = \frac{216}{3^2} = \frac{216}{9} = 24

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